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10795164156 = 2232759797911
BaseRepresentation
bin10100000110111000…
…10010000111111100
31000212100000011021200
422003130102013330
5134102030223111
64543105455500
7531341244540
oct120334220774
930770004250
1010795164156
11463a652677
122113341590
1310306691ca
147459cda20
15432acc256
hex2837121fc

10795164156 has 144 divisors (see below), whose sum is σ = 31789255680. Its totient is φ = 3024927360.

The previous prime is 10795164139. The next prime is 10795164197. The reversal of 10795164156 is 65146159701.

10795164156 is a `hidden beast` number, since 10 + 79 + 516 + 4 + 1 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11849341 + ... + 11850251.

It is an arithmetic number, because the mean of its divisors is an integer number (220758720).

Almost surely, 210795164156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10795164156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894627840).

10795164156 is an abundant number, since it is smaller than the sum of its proper divisors (20994091524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10795164156 is a wasteful number, since it uses less digits than its factorization.

10795164156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10795164156 in words is "ten billion, seven hundred ninety-five million, one hundred sixty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 797 826 911 1062 1239 1594 1652 1822 2124 2391 2478 2733 3188 3644 3717 4782 4956 5466 5579 6377 7173 7434 8199 9564 10932 11158 12754 14346 14868 16398 16737 19131 22316 25508 28692 32796 33474 38262 47023 50211 53749 57393 66948 76524 94046 100422 107498 114786 141069 161247 188092 200844 214996 229572 282138 322494 329161 376243 423207 483741 564276 644988 658322 726067 752486 846414 967482 987483 1128729 1316644 1452134 1504972 1692828 1934964 1974966 2178201 2257458 2904268 2962449 3386187 3949932 4356402 4514916 5082469 5924898 6534603 6772374 8712804 10164938 11849796 13069206 13544748 15247407 20329876 26138412 30494814 42837953 45742221 60989628 85675906 91484442 128513859 171351812 182968884 257027718 299865671 385541577 514055436 599731342 771083154 899597013 1199462684 1542166308 1799194026 2698791039 3598388052 5397582078 10795164156